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vfiekz [6]
3 years ago
6

A series combination of two resistors, 7.25 ω and 4.03 ω, is connected to a 9.00 v battery.

Physics
1 answer:
almond37 [142]3 years ago
4 0

a. 11.28\Omega

The equivalent resistance of a series combination of two resistors is equal to the sum of the individual resistances:

R_{eq}=R_1 + R_2

In this circuit, we have

R_1 = 7.25 \Omega\\R_2 = 4.03 \Omega

Therefore, the equivalent resistance is

R_{eq}=7.25 \Omega + 4.03 \Omega=11.28 \Omega

b. 5.8 V, 3.2 V

First of all, we need to determine the current flowing through each resistor, which is given by Ohm's law:

I=\frac{V}{R_{eq}}

where V = 9.00 V and R_{eq}=11.28 \Omega. Substituting,

I=\frac{9.00 V}{11.28 \Omega}=0.8 A

Now we can calculate the potential difference across each resistor by using Ohm's law again:

V_1 = I R_1 = (0.8 A)(7.25 \Omega)=5.8 V

V_2 = I R_2 = (0.8 A)(4.03 \Omega)=3.2 V

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